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Q.

What is the sum of all the interior angles in a hexagon?


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a

180°

b

360°

c

540°

d

720° 

answer is D.

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Detailed Solution

We need to find the sum of all the interior angles in a hexagon.
A hexagon is a polygon with six sides.
Now, the sum of all the interior angles in a polygon is given by the relation n2 × 180 ° , where n represents the number of sides in the polygon.
So using this relation and the number of sides in a hexagon, we have, the sum of all the interior angles as follows,
62 × 180 ° =4× 180 ° = 720 °
So, the sum of all the interior angles of a hexagon is found to be 720 ° .
Hence, the correct option is (4).
 

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